Step-by-step explanation:
√(6+x−x²)=9
the domain :
6+x-x² ≥ 0
(3-x)(2+x) ≥0
-2 ≤ x ≤ 3
problem solving:
√(6+x−x²)=9
6+x−x²=81
-x²+x+6-81 = 0
-x²+x-75 = 0
x²-x+75 = 0
D = 1² -4(1)(75) = 1-300 = -299
since D < 0, the equation doesn't have any real numbers solution
